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ORCIDYuichi Futa
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2020 – today
- 2024
[j30]Takehiko Mieno
, Hiroyuki Okazaki, Kenichi Arai, Yuichi Futa:
How to Formalize Loop Iterations in Cryptographic Protocols Using ProVerif. IEEE Access 12: 31605-31625 (2024)- 2022
- [j29]Kazuhisa Nakasho, Yuichi Futa:
Isomorphism between Spaces of Multilinear Maps and Nested Compositions over Real Normed Vector Spaces. Formaliz. Math. 30(1): 67-77 (2022) - 2021
- [j28]Kazuhisa Nakasho, Yuichi Futa:
Inverse Function Theorem. Part I1. Formaliz. Math. 29(1): 9-19 (2021) - [c6]Ryo Tokuyama, Yuichi Futa, Hikofumi Suzuki, Hiroyuki Okazaki:
Virtual Environment for Analysis and Evaluation of DDoS Attacks. AINA (3) 2021: 459-468 - 2020
- [c5]Takehiko Mieno, Togo Yoshimura, Hiroyuki Okazaki, Yuichi Futa, Kenichi Arai:
Formal Verification of Merkle-Damgård Construction in ProVerif. ISITA 2020: 602-606
2010 – 2019
- 2019
- [j27]Hiroyuki Okazaki, Koh-ichi Nagao, Yuichi Futa:
Maximum Number of Steps Taken by Modular Exponentiation and Euclidean Algorithm. Formaliz. Math. 27(1): 87-91 (2019) - [j26]Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama:
Operations of Points on Elliptic Curve in Affine Coordinates. Formaliz. Math. 27(3): 315-320 (2019) - 2018
- [j25]Kazuhisa Nakasho, Yuichi Futa, Yasunari Shidama:
Continuity of Bounded Linear Operators on Normed Linear Spaces. Formaliz. Math. 26(3): 231-237 (2018) - [c4]Hiroyuki Okazaki, Yuichi Futa, Kenichi Arai:
Suitable Symbolic Models for Cryptographic Verification of Secure Protocols in ProVerif. ISITA 2018: 326-330 - 2017
- [j24]Yuichi Futa, Yasunari Shidama:
Embedded Lattice and Properties of Gram Matrix. Formaliz. Math. 25(1): 73 (2017) - [j23]Yuichi Futa, Yasunari Shidama:
Dual Lattice of ℤ-module Lattice. Formaliz. Math. 25(2): 157-169 (2017) - [j22]Yuichi Futa, Yasunari Shidama:
Isomorphism Theorem on Vector Spaces over a Ring. Formaliz. Math. 25(3): 171-178 (2017) - [j21]Kazuhisa Nakasho, Yuichi Futa, Yasunari Shidama:
Implicit Function Theorem. Part I. Formaliz. Math. 25(4): 269-281 (2017) - 2016
- [j20]Yuichi Futa, Yasunari Shidama:
Divisible ℤ-modules. Formaliz. Math. 24(1): 37-47 (2016) - [j19]Yuichi Futa, Yasunari Shidama:
Lattice of ℤ-module. Formaliz. Math. 24(1): 49-68 (2016) - [c3]Hiroyuki Okazaki, Yuichi Futa:
Formalization of Polynomially Bounded and Negligible Functions Using the Computer-Aided Proof-Checking System Mizar. FM4M/MathUI/ThEdu/DP/WIP@CIKM 2016: 117-131 - 2015
- [j18]Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama:
Matrix of ℤ-module1. Formaliz. Math. 23(1): 29-49 (2015) - [j17]Hiroyuki Okazaki, Yuichi Futa:
Polynomially Bounded Sequences and Polynomial Sequences. Formaliz. Math. 23(3): 205-213 (2015) - [j16]Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama:
Torsion Part of ℤ-module. Formaliz. Math. 23(4): 297-307 (2015) - 2014
- [j15]Kazuhisa Nakasho, Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama:
Rank of Submodule, Linear Transformations and Linearly Independent Subsets of Z-module. Formaliz. Math. 22(3): 189-198 (2014) - [j14]Kazuhisa Nakasho, Yuichi Futa, Yasunari Shidama:
Topological Properties of Real Normed Space. Formaliz. Math. 22(3): 209-223 (2014) - [j13]Yuichi Futa, Hiroyuki Okazaki, Kazuhisa Nakasho, Yasunari Shidama:
Torsion Z-module and Torsion-free Z-module. Formaliz. Math. 22(4): 277-289 (2014) - [c2]Jiageng Chen, Yuichi Futa, Atsuko Miyaji, Chunhua Su:
Improving Impossible Differential Cryptanalysis with Concrete Investigation of Key Scheduling Algorithm and Its Application to LBlock. NSS 2014: 184-197 - [i1]Jiageng Chen, Yuichi Futa, Atsuko Miyaji, Chunhua Su:
Impossible differential cryptanalysis of LBlock with concrete investigation of key scheduling algorithm. IACR Cryptol. ePrint Arch. 2014: 272 (2014) - 2013
- [j12]Hiroyuki Okazaki, Yuichi Futa, Yasunari Shidama:
Formal definition of probability on finite and discrete sample space for proving security of cryptographic systems using Mizar. Artif. Intell. Res. 2(4): 37-48 (2013) - [j11]Yuichi Futa, Hiroyuki Okazaki, Daichi Mizushima, Yasunari Shidama:
Gaussian Integers. Formaliz. Math. 21(2): 115-125 (2013) - [j10]Hiroyuki Okazaki, Yuichi Futa, Yasunari Shidama:
Constructing Binary Huffman Tree. Formaliz. Math. 21(2): 133-143 (2013) - [j9]Yuichi Futa, Noboru Endou, Yasunari Shidama:
Isometric Differentiable Functions on Real Normed Space. Formaliz. Math. 21(4): 249-260 (2013) - [j8]Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama:
Submodule of free Z-module. Formaliz. Math. 21(4): 273-282 (2013) - [j7]Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama:
Formalization of Definitions and Theorems Related to an Elliptic Curve Over a Finite Prime Field by Using Mizar. J. Autom. Reason. 50(2): 161-172 (2013) - 2012
- [j6]Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama:
Z-modules. Formaliz. Math. 20(1): 47-59 (2012) - [j5]Yuichi Futa, Hiroyuki Okazaki, Daichi Mizushima, Yasunari Shidama:
Operations of Points on Elliptic Curve in Projective Coordinates. Formaliz. Math. 20(1): 87-95 (2012) - [j4]Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama:
Quotient Module of Z-module. Formaliz. Math. 20(3): 205-214 (2012) - [j3]Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama:
Free ℤ-module. Formaliz. Math. 20(4): 275-280 (2012) - [c1]Yuichi Futa, Daichi Mizushima, Hiroyuki Okazaki:
Formalization of Gaussian integers, Gaussian rational numbers, and their algebraic structures with Mizar. ISITA 2012: 591-595 - 2011
- [j2]Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama:
Formalization of Integral Linear Space. Formaliz. Math. 19(1): 61-64 (2011) - [j1]Yuichi Futa, Hiroyuki Okazaki, Yasunari Shidama:
Set of Points on Elliptic Curve in Projective Coordinates. Formaliz. Math. 19(3): 131-138 (2011)
Coauthor Index
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